TSTP Solution File: NUM617+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM617+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:06:09 EDT 2022
% Result : Theorem 1.59s 0.61s
% Output : Refutation 1.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 34 ( 17 unt; 0 def)
% Number of atoms : 92 ( 1 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 98 ( 40 ~; 34 |; 19 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 33 ( 29 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1135,plain,
$false,
inference(subsumption_resolution,[],[f1133,f550]) ).
fof(f550,plain,
~ aElementOf0(xx,szNzAzT0),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
~ aElementOf0(xx,szNzAzT0),
inference(flattening,[],[f115]) ).
fof(f115,negated_conjecture,
~ aElementOf0(xx,szNzAzT0),
inference(negated_conjecture,[],[f114]) ).
fof(f114,conjecture,
aElementOf0(xx,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f1133,plain,
aElementOf0(xx,szNzAzT0),
inference(resolution,[],[f1124,f958]) ).
fof(f958,plain,
! [X14] :
( ~ aElementOf0(X14,xQ)
| aElementOf0(X14,szNzAzT0) ),
inference(subsumption_resolution,[],[f953,f423]) ).
fof(f423,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
( isCountable0(szNzAzT0)
& aSet0(szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).
fof(f953,plain,
! [X14] :
( aElementOf0(X14,szNzAzT0)
| ~ aElementOf0(X14,xQ)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f489,f557]) ).
fof(f557,plain,
aSubsetOf0(xQ,szNzAzT0),
inference(cnf_transformation,[],[f101]) ).
fof(f101,axiom,
aSubsetOf0(xQ,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5106) ).
fof(f489,plain,
! [X2,X0,X1] :
( ~ aSubsetOf0(X1,X0)
| ~ aElementOf0(X2,X1)
| ~ aSet0(X0)
| aElementOf0(X2,X0) ),
inference(cnf_transformation,[],[f329]) ).
fof(f329,plain,
! [X0] :
( ! [X1] :
( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) )
| ~ aSubsetOf0(X1,X0) )
& ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ( ~ aElementOf0(sK18(X0,X1),X0)
& aElementOf0(sK18(X0,X1),X1) ) ) )
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f327,f328]) ).
fof(f328,plain,
! [X0,X1] :
( ? [X3] :
( ~ aElementOf0(X3,X0)
& aElementOf0(X3,X1) )
=> ( ~ aElementOf0(sK18(X0,X1),X0)
& aElementOf0(sK18(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f327,plain,
! [X0] :
( ! [X1] :
( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) )
| ~ aSubsetOf0(X1,X0) )
& ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X3] :
( ~ aElementOf0(X3,X0)
& aElementOf0(X3,X1) ) ) )
| ~ aSet0(X0) ),
inference(rectify,[],[f326]) ).
fof(f326,plain,
! [X0] :
( ! [X1] :
( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) )
| ~ aSubsetOf0(X1,X0) )
& ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(flattening,[],[f325]) ).
fof(f325,plain,
! [X0] :
( ! [X1] :
( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) )
| ~ aSubsetOf0(X1,X0) )
& ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f179]) ).
fof(f179,plain,
! [X0] :
( ! [X1] :
( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) )
<=> aSubsetOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
fof(f1124,plain,
aElementOf0(xx,xQ),
inference(resolution,[],[f959,f387]) ).
fof(f387,plain,
aElementOf0(xx,xP),
inference(cnf_transformation,[],[f113]) ).
fof(f113,axiom,
aElementOf0(xx,xP),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5348) ).
fof(f959,plain,
! [X16] :
( ~ aElementOf0(X16,xP)
| aElementOf0(X16,xQ) ),
inference(subsumption_resolution,[],[f955,f679]) ).
fof(f679,plain,
aSet0(xQ),
inference(subsumption_resolution,[],[f673,f491]) ).
fof(f491,plain,
aSet0(xO),
inference(cnf_transformation,[],[f96]) ).
fof(f96,axiom,
( isCountable0(xO)
& aSet0(xO) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4908) ).
fof(f673,plain,
( aSet0(xQ)
| ~ aSet0(xO) ),
inference(resolution,[],[f490,f553]) ).
fof(f553,plain,
aSubsetOf0(xQ,xO),
inference(cnf_transformation,[],[f100]) ).
fof(f100,axiom,
( aSubsetOf0(xQ,xO)
& slcrc0 != xQ ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5093) ).
fof(f490,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f329]) ).
fof(f955,plain,
! [X16] :
( ~ aElementOf0(X16,xP)
| ~ aSet0(xQ)
| aElementOf0(X16,xQ) ),
inference(resolution,[],[f489,f505]) ).
fof(f505,plain,
aSubsetOf0(xP,xQ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,axiom,
aSubsetOf0(xP,xQ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5195) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM617+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 07:32:29 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.21/0.50 % (15000)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.21/0.50 % (14983)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.50 % (14982)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.50 % (14989)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.51 % (14987)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.51 % (14992)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.51 % (15001)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.51 % (14990)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.51 % (14978)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.52 % (14993)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.52 % (14977)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.52 % (14997)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.52 % (14980)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52 % (14981)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52 % (14995)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.53 % (14984)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.53 % (14988)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.53 TRYING [1]
% 0.21/0.54 % (15002)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.44/0.54 % (14999)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.44/0.54 % (15005)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.44/0.54 % (14984)Instruction limit reached!
% 1.44/0.54 % (14984)------------------------------
% 1.44/0.54 % (14984)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.54 % (14984)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.54 % (14984)Termination reason: Unknown
% 1.44/0.54 % (14984)Termination phase: Property scanning
% 1.44/0.54
% 1.44/0.54 % (14984)Memory used [KB]: 1279
% 1.44/0.54 % (14984)Time elapsed: 0.010 s
% 1.44/0.54 % (14984)Instructions burned: 9 (million)
% 1.44/0.54 % (14984)------------------------------
% 1.44/0.54 % (14984)------------------------------
% 1.44/0.54 % (14986)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.44/0.54 % (15007)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.44/0.54 % (14986)Instruction limit reached!
% 1.44/0.54 % (14986)------------------------------
% 1.44/0.54 % (14986)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.54 % (14986)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.54 % (14986)Termination reason: Unknown
% 1.44/0.54 % (14986)Termination phase: Preprocessing 2
% 1.44/0.54
% 1.44/0.54 % (14986)Memory used [KB]: 1023
% 1.44/0.54 % (14986)Time elapsed: 0.003 s
% 1.44/0.54 % (14986)Instructions burned: 2 (million)
% 1.44/0.54 % (14986)------------------------------
% 1.44/0.54 % (14986)------------------------------
% 1.44/0.54 % (15006)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.44/0.54 % (14994)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.44/0.54 % (14979)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.44/0.54 TRYING [2]
% 1.44/0.54 % (14983)Instruction limit reached!
% 1.44/0.54 % (14983)------------------------------
% 1.44/0.54 % (14983)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.55 % (14991)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.44/0.55 % (15004)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.44/0.55 % (14983)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.55 % (14983)Termination reason: Unknown
% 1.44/0.55 % (14983)Termination phase: Finite model building constraint generation
% 1.44/0.55
% 1.44/0.55 % (14983)Memory used [KB]: 7675
% 1.44/0.55 % (14983)Time elapsed: 0.146 s
% 1.44/0.55 % (14983)Instructions burned: 52 (million)
% 1.44/0.55 % (14983)------------------------------
% 1.44/0.55 % (14983)------------------------------
% 1.44/0.55 % (14998)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.44/0.55 % (15003)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.59/0.56 % (14996)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.59/0.58 % (14993)First to succeed.
% 1.59/0.60 TRYING [1]
% 1.59/0.60 TRYING [2]
% 1.59/0.60 % (14979)Instruction limit reached!
% 1.59/0.60 % (14979)------------------------------
% 1.59/0.60 % (14979)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.60 % (14979)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.60 % (14979)Termination reason: Unknown
% 1.59/0.60 % (14979)Termination phase: Saturation
% 1.59/0.60
% 1.59/0.60 % (14979)Memory used [KB]: 1663
% 1.59/0.60 % (14979)Time elapsed: 0.184 s
% 1.59/0.60 % (14979)Instructions burned: 39 (million)
% 1.59/0.60 % (14979)------------------------------
% 1.59/0.60 % (14979)------------------------------
% 1.59/0.60 % (14987)Also succeeded, but the first one will report.
% 1.59/0.61 % (14993)Refutation found. Thanks to Tanya!
% 1.59/0.61 % SZS status Theorem for theBenchmark
% 1.59/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.59/0.61 % (14993)------------------------------
% 1.59/0.61 % (14993)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.61 % (14993)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.61 % (14993)Termination reason: Refutation
% 1.59/0.61
% 1.59/0.61 % (14993)Memory used [KB]: 1791
% 1.59/0.61 % (14993)Time elapsed: 0.154 s
% 1.59/0.61 % (14993)Instructions burned: 38 (million)
% 1.59/0.61 % (14993)------------------------------
% 1.59/0.61 % (14993)------------------------------
% 1.59/0.61 % (14974)Success in time 0.254 s
%------------------------------------------------------------------------------